Distribution of Elastic Displacements and Mechanical Stresses in a Laminated Transducer with Amplitude-Phase Excitation

Abstract

The paper considers how elastic displacements and mechanical stresses are distributed along a laminated transducer consisting of two piezoelectric plates with different amplitude-phase excitation that are separated by an intermediate layer and have their outer surfaces loaded on arbitrary input impedances. We analyze the extent to which the nature of the distribution of elastic displacements and mechanical stresses is affected by the geometry of the elements of the laminated transducer and its amplitude-phase excitation. This analysis is based on solving the problem of synthesis aimed at forming uniform amplitude-frequency and linear phase-frequency characteristics of radiation by this transducer in a wide frequency band. Calculation results are discussed for different laminated-transducer designs and compared with the maximum values of elastic displacements and mechanical stresses achieved by in-phase excitation of piezoelectric plates in these transducers.